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Finding the Third Proportional to 201,786 and 442,934

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Solution

The third proportional to 201,786 and 442,934 is: 972,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,786 : 442,934 = 442,934 : x
  2. Step 2: Convert to fraction form
    201,786/442,934 = 442,934/x
  3. Step 3: Cross multiply
    201,786x = 442,934 × 442,934
  4. Step 4: Simplify right side
    201,786x = 196,190,528,356
  5. Step 5: Solve for x
    x = 196,190,528,356/201,786
  6. Step 6: Final answer
    x = 972,270.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.